{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 8.1. Getting started with scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.stats as st\n",
    "import sklearn.linear_model as lm\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x):\n",
    "    return np.exp(3 * x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_tr = np.linspace(0., 2, 200)\n",
    "y_tr = f(x_tr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array([0, .1, .2, .5, .8, .9, 1])\n",
    "y = f(x) + 2 * np.random.randn(len(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x7978470>"
    }
   },
   "outputs": [
    {
     "data": {
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FJSN//PGHzTHv3btnsVjUu3dvl5xHGBYWprCwMMMxK1eutCmmpbPCOnfurICA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\n6tTJsH/v3r0WV07ZymQy6a2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BwcrPPnz5sdK1eunLZs2aJKlSrZPUfXrl3l5uZmVl+5cmW++m3atEk3b940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\nlixZok2bNmnLli3as2ePDh48eNWS2Gq1a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vMAABEDSURB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7978470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(6, 3))\n",
    "ax.plot(x_tr, y_tr, '--k')\n",
    "ax.plot(x, y, 'ok', ms=10)\n",
    "ax.set_xlim(0, 1.5)\n",
    "ax.set_ylim(-10, 80)\n",
    "ax.set_title('Generative model')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We create the model.\n",
    "lr = lm.LinearRegression()\n",
    "# We train the model on our training dataset.\n",
    "lr.fit(x[:, np.newaxis], y)\n",
    "# Now, we predict points with our trained model.\n",
    "y_lr = lr.predict(x_tr[:, np.newaxis])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x82eae10>"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KLNesrCwMHjxY0iULxXTx4kXJPhN13cGDB/Hhhx9q7G/lqVOn0L9/f40Ws8rKyjBs2DCc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\nFhERERHVqt69e6N3796Ij4/Hzp07cfz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AVlBZU7qS4EVhd2V2WdyzJ6PDjI39dfbcPbKi4i7uLuqp93WLUJ\nb6Mg/9r9DBIA6hKPDbKOHz+ugQMHKivL9gtyTEyMtm3bppYtW7p0ht69e9sEWYWFhfrkk0905513\n1rheeXm5du7cabPesWNHRUdH13pOAAAAAADgHiUlJdq+fbvWrFmjAwcOuK1vcXGx3nrrLU2YMMFt\nPeE+Z0vOXtxN9YtjAE8WnTR6PDgoyC+oSlB1YVdVfGS8YhrGyN/XY39ECwAewSP/lDx16pQGDhyo\ntLQ0m9datGih7du3q02bNi6f4+6779aMGTNktVqrrK9Zs6ZWQdbWrVt19uxZm/V777231jMCAAAA\nAADX++GHH7R27Vpt2LDB7v+3d4eVK1fqqaeekp+fnyH9UXtWq1Wnik4pOe98QFX515+PATSVunZH\nH1wvLCBMrUJaqXVoa8WExah1aGtd3+7/s3fvwXHW9/n3r93Vrs7alSxbts67sjnIBmTcYJKWhkNK\nHMepTUqKDSmYJNOmTaelfaBpeGinvymdloES0/Kb0k77AA7BhEPAAZyQxGGGNKmbYMd2EvmsXUkr\nW/JB2tV5tYf7+WOttWRJtuQ93LvS+zVzj5b17v29ZCywdfn7+f6GVixaoeqSalktVrMjAkDOyroi\nKxAIaNOmTTp27NiUH6usrNRbb70lj8eTkSy1tbX6xCc+oR/84AeTnv/Rj36kn/3sZ7rppptmfa9I\nJKKnn356yvMOh0ObN29OOisAAAAAAEitUCikt99+W88//7x+8pOfmB1HnZ2d+u53v6sNGzaYHQXT\niBkxnRo8Nfm8qgm7qwbDg2ZHRJKc+U41uZqmHQNY7iiXz+eb9Hp3rVt5eVn37VcAyDlZ9V/SgYEB\nffazn9Wvf/3rKT/mcrn05ptv6pprrslopj/7sz+bUmRJ0kMPPaTdu3ersLBwVvf5+te/rsOHD095\nfvPmzVq6dGnSOQEAAAAAQGq0trbqG9/4hl555RXTdl/N5N///d8pskwUiUXkH/BPGQPoC/rkDXg1\nGh01OyKStLhosTxOj9wu96QRgB6XR+UF5TO+LxKJZDAlACwsWVNkjYyMaPPmzdq3b9+UHysrK9O3\nv/1tXXfddRnPdcstt+iTn/yk3nvvvUnPt7a26ktf+pKef/55ORyOS97j9ddf1z/90z9Neb64uFh/\n/dd/ndK8AAAAAABg7gYGBvTmm29q+/bt+vDDD82OM6Mf//jHam1tVXNzs9lR5q2x6Jjag+3yBi+U\nVePFVXt/uyIxCotcV11SPamkGt9h5Xa6VZZfZnY8AMBFsqbI+su//MsZt+l/9KMf1e7du7V79+6U\nrHXPPffM6YytJ554Qv/zP/+j/v7+Sc+/++67WrdunZ5++mm1tLRMeV8gENATTzyh5557bso5W5L0\n2GOPqbq6eu6fAAAAAAAASJphGPrwww+1fft2ffvb39bQ0JDZkS5rzZo1OZEz2w2Hh+UL+qYdA+gf\n8CtmxMyOiCRYLVbVldbFx/+d3101Xlo1lDWoyF5kdkQAwBxkTZHV0dEx44+99957U3ZEJePmm2+e\nU5HV2Niof/mXf9GDDz44pZDat2+fbr31Vl1//fVau3atKioqNDIyosOHD+uDDz7Q6Oj0W8o3bNig\nP/7jP07q8wAAAAAAAHN37tw5fetb39I3vvENHTp0yOw4l2W323XXXXfpD//wD/Ubv/EbZsfJGf2h\n/gsl1YSdVd6gVycHT5odD0myW+1qcDbI4/So0dUoj/PCCMD6sno5bJeeoAQAyB1ZU2Rlu02bNuns\n2bN65JFHpt1ddfDgQR08eHBW9/rt3/5t/ed//meqIwIAAAAAgBmEw2F9//vf144dO/Tee+8pHA6b\nHemyqqqq9OCDD+rBBx9UVVWV2XGyjmEY6hvtuzAC8KIxgGdHzpodEUkqsBVMOatqfAxgbWmt8qx8\naxMAFgL+az8HX/rSl1RVVaWvfOUrU8YMztaDDz6oJ5544rLnagEAAAAAgOQdPHhQL7/8sl5//XWd\nPZsbxcZHPvIR/dEf/ZF+93d/d8F//8AwDJ0ePp0oqi4eAxgMBc2OiCSV2EsujP67aAzg0uKlslqs\nZkcEAJiMImuOPvOZz+imm27S448/rm9961saGxub1fvWrFmjv/3bv9XHP/7xNCcEAAAAAGBhO3Pm\njF599VW9/PLL+vWvf212nFlxOBy666679OUvf1mrV682O05GxYyYTg6ejBdV04wBHApzJliuKy8o\nT5RU4+dWjZdVlYWVslgsZkcEAGSxrCmy3n33XbMjzFpVVZX+9V//VX/zN3+jd955Rx988IEOHTqk\nU6dOaWhoSA6HQ+Xl5VqxYoU+8pGPaP369brxxhvNjg0AAAAAwLwVCoX03nvv6eWXX9YPfvADRaNR\nsyPNSkNDg77whS/o85//vBYtWmR2nLSJxCLq7O+cdgygL+hTKBoyOyKStKRoSWL036SPLrfKjv0l\nLgAAIABJREFUC8rNjgcAyGFZU2TloiVLlugLX/iCvvCFL5gdBQAAAACABccwDO3fvz8xOrCvr8/s\nSLNisVh055136otf/KLuuOMO2Ww2syOlRCgSUnt/e2IEYGKHVbBNHf0disQiZkdEkmpLa9XobJwy\nBrDR2ahSR6nZ8QAA8xRFFgAAAAAAyDn/8R//oeeff16HDh0yO8qsVVRU6P7779fWrVvV2Nhodpwr\nMhQeki/omzQGcLy08g/4ZcgwOyKSYLVYVV9WP+0YwAZngwrzCs2OCABYgCiyAAAAAABAzvnwww9z\npsS66aab9MUvflEbN25UQUGB2XEuazA8KP+wXweOHVD7QHtiDKAv4NOpoVNmx0OS7FZ7YleV2zm5\nrKorq5PD5jA7IgAAk1BkAQAAAACAnHPvvffq1VdfNTvGjEpLS/W5z31OW7du1fXXX292nEkMw1Dv\naG/irCpv0KsTfSd0uOewOoc7FRgLmB0RSSrMK7xQUp0fAzg+ArC2tFY26/wYZwkAWBgosgAAAAAA\nQM655ZZbVFtbK7/fb3aUSVpaWvTggw/q937v91RSUmJaDsMw1DPcc6GsCngTIwDbAm3qH+s3LRtS\no9RRmthV5XF5Ju2sWlq8VBaLxeyIAACkBEUWAAAAAADIOTabTffcc4/++Z//2ewoKi4u1t13360H\nH3xQLS0tGVs3ZsTUNdCltuCF86rGd1h5A14NR4YzlgXpUVFQEd9RNc0YwEWFiyirAAALAkUWAAAA\nAADISVu2bDG1yLruuuv04IMP6u6771ZZWVla1ghHw+oc6EwUVBN3WPn6fRqLjqVlXWROVVHVhR1V\n58cAul1uuZ1uuQpcZscDAMB0FFkAAAAAACAnLV++XDfddJN+9rOfZWzNkpIS/d7v/Z7uv/9+3Xjj\njSnZETMaGVV7f3uipPIFfYnHHf0dihrRFCSHWSyyqKa0JjECcOIYwEZno0oc5o2gBAAgF1BkAQAA\nAACAnHXvvfdmpMhau3atPv/5z+uuu+66orOvhsJD8fF/04wB7BrokiEjDamRKTaLTfVl9YmiqtHZ\nmHjcUNaggrwCsyMCAJCzKLIAAAAAAEDO2rRpk7761a8qFAql/N4VFRXasmWL/uAP/kDXXHPNZV8f\nGA0kzqdqC14YAdgWaFPPcE/K8yGzHDaHGssaL4wAnDAGsK60Tnab3eyIAADMSxRZAAAAAAAgJQzD\n0P79+9XY2Kjy8vKMrOlyubRhwwa98cYbKbmfxWLRbbfdpvvvv1+f+tSnlJ+fn/gxwzB0buRcfDfV\n+Z1VE8+t6h3tTUkGmKcor0iNrkZ5nJ4pYwCrS6pls9rMjggAwIJDkQUAAAAAAK7YeHm1c+dOvfXW\nW/L5fHrqqaf0pS99KWMZtmzZknSRVV9fr82bN+vee+9VfmW+2gJtevX4q4kdVeM7rfrH+lOUGmYp\nc5RdKKmc7kk7rKqKqlJy7hkAAEgdiiwAAAAAADAnhmFo37592rlzp3bu3Kn29vZJP/76669ntMi6\n7bbbtGzZMp06dWp2b7BIckoFywp03a3Xqe76OoWKQ3on+I7+9Z1/1UhkJK15kX6LChclxv6NF1bj\nZVVFQQVlFQAAOYQiCwAAAAAAXJZhGPrwww8T5VVnZ+eMr92zZ4/a29vV0NCQkWw2m02///u/r2ee\neebCk1ZJLkkVUy9LhUWG1dCoRvVz/Vw/7/l5RnIitZYVL5t2DKDb6ZYz32l2PAAAkCIUWQAAAAAA\nYFqxWEw///nPtXPnTn3nO9+R3++f9Xu//e1v6y/+4i/SmE4ajYzKF/SpLdAm42ZDOi6pXPHCyqV4\nmTUNQ0ZacyE1LLKotrR22jGAjc5GFduLzY4IAAAygCILAAAAAAAkxGIx/e///q/eeustvf322zp5\n8uQV3ee1115LSZE1ODYob/D8OVUBr9qCbYnHJwdPTi6lPpL0csgwm8WmBmfDtGMAG8oalJ+Xb3ZE\nAABgMoosAAAAAAAWuGg0qj179iTKq+7u7qTv2draqtbWVjU3N1/2tYHRgNoC5wuq8dLq/MfTw6eT\nzgJz5dvy1ehsjBdVE8cAOt2qLa2V3WY3OyIAAMhiFFkAAAAAACxA0WhUP/3pT7Vz5069/fbb6unp\nSfkab7zxhpqamvSrX/1KBw4fUGdvp04FT6kv0qe+SJ/6i/vVXdqtQCSQ8rWRWcX24sROqsTH8zus\nqkuqZbXMMOcRAADgMiiyAAAAAABYIIaHh/X+++/r3Xff1Xvvvadz586l7uYWSaW6cDbVmPT080/r\nn7/+z1LsEu+zSloiqVpSk6SrxXcrslSZo0xN5U2JMYDjhZXH5dGSoiWyWCxmRwQAAPMQvzUEAAAA\nAGAeO3funL73ve/p3Xff1fvvv6+RkZErv5lFklNSxTSXTdIBSfskDcZfPun8qpnEJHWfv/ZJKpF0\no6Q159dCRpU7ylVbVKu64jpdV3OdllcsT+yyKi8op6wCAAAZR5EFAAAAAMA84/P59O677+rdd9/V\nnj17FItdakvURWyK76qaWFKVT/hou+j1I5K+L2m/NJve6rIGJX0g6ceSWiTdKakwBfdFQnVJtRqd\njfHdVOfPrKovrZelz6ISe0nidW63W3l5fOsIAACYi9+NAAAAAACQ4wzD0IEDBxLlVWtr66XfkKcL\n5dTFl1PxcX+zcUTS20rswEopQ9IvJB2T9BnFRw5iVqwWq2pLaxNF1cQxgI3ORhXZi6a8JxKJyDvo\nNSEtAADApVFkAQAAAACQg8LhsH7yk5/o3Xff1Xe/+135/f7JL8jXzGVVWZKLhyTtUnyUYLoNStoh\n6QZJ6xX/vKA8a54ayhriY/9c7sTOKrfTrfqyeuXn8RMFAADmB4osAAAAAAByxMDAgHbv3q1du3bp\nvffeU3AseKGcatLk4qrkUndKwrCklySdTNP9Z3JA0llJ90mauqFoXiqwFcjtck8ZA+h2uVVbWqs8\nK9/WAQAA8x+/4wEAAAAAIEsZhqH9x/brjfff0PsH39ehnkOKOWPxourLyvzZUcOSXpB0OsPrjus6\nv/5WzZsyq8ReEt9RNc0YwGUly2S1zHbOIwAAwPxEkQUAAAAAgIliRkwnB0+qLdAmX9Cn473Htde7\nV0fOHtG52DkZdiP+whXnL7OEFN+JZVaJNe60pG9Kul85M2bQle+KF1UTxgCOf1xctFgWi8XsiAAA\nAFmLIgsAAAAAgDSLxCLyD/jVFmhTW6BN3qA3/jHglTfoVSgamvom2/krW+xS5scJzqRL8Tx3mR3k\ngiVFS+R2uiftrhovrsoLys2OBwAAkLMosgAAAAAASIFQJKSO/g61BdsuFFbni6r2/nZFYhGzI165\nI4qfUZVNDkhqlnR15pasKalJFFXj4//Gy6tSR2nmggAAACwgFFkAAAAAAMzScHhY3qA3UVCNF1Zt\ngTb5B/wyZJgdMfVGJL1tdogZvC2pXik7K8xqsaqutG7SGMDxwqrR2ajCvEwfSgYAAACKLAAAAAAA\nJugP9astGN9NdfEYwFNDp8yOl3nflzRodogZDCqeb+Ps32K32tXgbLhwTtX5MYBul1v1ZfVy2Bzp\nSgsAAIArQJEFAAAAAFhQDMNQ32hffCfVhDGAvqBPbYE2nR05a3bE7BGUtN/sEJexX9KtkpwXniqw\nFUzZUTU+BrC2tFY2azYdPgYAAIBLocgCAAAAAMw7hmGoe6hbnYOdk3ZVjV/9Y/1mR8wNe6Wsn5Zo\nSDd336z77r4vUVotLV4qq8VqdjIAAACkAEUWAAAAACAnxYyYuga61BZs0/Fzx3Wg44A6hzvlH/LL\nP+zXSHTE7Ii5LSJpn9khZsf7I682/8tm2e12s6MAAAAgxSiyAAAAAABZKxKLqLO/c9IYQG/QK2/A\nK1/Qp1A0ZHbE+euIsvdsrIv09PRo165d2rhxDodlAQAAICdQZAEAAAAATBWKhNTe354Y+zdxDGDn\nQKcisYjZERemE2YHmJvdu3dTZAEAAMxDFFkAAAAAgLQbCg/JG/CqLdgmX8A3aYdV10CXjKw/iGkB\nOml2gLnZv3+/2REAAACQBhRZAAAAAICUCIwG5Av6ph0D2D3UbXY8zEVY0mmzQ8zNoUOHFAqFlJ+f\nb3YUAAAApBBFFgAAAABgVgzD0LmRc5NG/40/9ga9OjdyzuyISFJhXqHcLrcqzlXov2P/bXacOQmH\nw2ptbdXq1avNjgIAAIAUosgCAAAAACQYhqHuoe5Ju6nGd1h5A171j/WbHRFJKnOUye1yy+P0yOPy\nyO1yy+10y+PyaGnxUlksFr3++uv6b+VWkSVJJ06coMgCAACYZyiyAAAAAGCBicai6hrsmlJSjZ9f\nNRwZNjsikrSocJE8zskl1fhVUVAhi8VyyfcPD+fmr4GRkRGzIwAAACDFKLIAAAAAYB4KR8PqHOhM\njACcuMPK1+/TWHTM7IhIUolRIo/Lo+tqrpu0w6rR2ShXgSupe4fD4RSlzKyxMX5dAwAAzDcUWQAA\nAACQo0Yjo/IFfdOOAezs71TUiJodMTMiknok9UoKS4pKskmyS6qQVKXc/NOvISkoqVeyD9q1YtEK\n/ea1v6nP/OZntMazRsX24rQtbbfb03bvdHI4HGZHAAAAQIrl4m/lAQAAAGDBGBwblDcYL6i8Ae+F\nx0Gvuga6ZMgwO2LmRSQdkXRC0klJpyXFLvF6q6QlkqolNUm6Wtnzp+GYpL7zV+/ka3nlcq37xDrd\nefed+uhHP5rRcqmoqChja6VSYWGh2REAAACQYtnyW3cAAAAAWLACo4FEQXXxGMCe4R6z42WPoKS9\nkvZJGpzD+2KSus9f+ySVSLpR0hpJzhRnnIbD5pDb6Z58XpXTo0prpW5bc5ti4XgLl5+fr9/6rd/S\nnXfdqU9+8pNqbGxMf7gZeDwe09ZORlNTk9kRAAAAkGIUWQAAAACQZoZh6OzI2URBNb67anwMYN9o\nn9kRs9uIpO9L2i+lZAPaoKQPJP1YUoukOyUluZGnKK8ofk7V+ZLK4/Ko0dUoj9Oj6pJq2ay2ad/3\n2Y2fVUlJie688059/OMfV3Fx+sYFzkVzc7Py8vIUiUTMjjJrdrtdzc3NZscAAABAilFkAQAAAEAK\nxIyYuoe6Ezuqxs+uGi+vBsYGzI6Ym45Ieltz24E1W4akX0g6Jukzio8cvIQyR1m8qDp/JXZXuTxa\nUrREFotlzhH+8z//8wqCp19BQYGam5t18OBBs6PM2rXXXqv8/HyzYwAAACDFKLIAAAAAYJaisaj8\nA/4pYwB9QZ+8Qa9GIiNmR5w/QpJ2STqQgbUGJe2QdIOkW6U116xRU3nThdLq/A6r8oLyKyqrclVL\nS0tOFVktLS1mRwAAAEAaUGQBAAAAwARj0TF19HfER/8F2y6MAQy2qT3YrnAsbHbE+W9Y0kuSTmZ4\n3QPx6yv/31f02XWfzfDi2ef222/X9u3bzY4xa3fccYfZEQAAAJAGFFkAAAAAFpyRyMik0X8TH3cO\ndCpmxMyOuHANS3pB0mnzIjz88MO69dZbVVFRYV6ILLB+/XpVVVWpp6fH7CiXVVVVpfXr15sdAwAA\nAGlAkQUAAABgXhoYG5A34J00BtAb9Mob8KprsMvseJhOSPGdWCaWWJLU29urz33uc9q5c6dKSkrM\nDWMih8Oh+++/X08++aTZUS7rgQcekN1uNzsGAAAA0oAiCwAAAEDO6hvti4/9C7RNGQN4ZviM2fEw\nV7uU+XGCM9i7d68efvhhPffcc2ZHMdXWrVv19NNPKxqNmh1lRjabTVu3bjU7BgAAANKEIgsAAABA\n1jIMQ2eGz1woqc7vqBrfYRUIBcyOiGSNSeqV9CvFz6jKIq+88oo2bdqkdevWmR3FNDU1NdqyZYte\neukls6PMaMuWLaqurjY7BgAAANKEIgsAAACAqWJGTKcGTyWKqovHAA6GB82OiGSNKF5WTXcNmZhr\nFh566CHt2bNHLpfL7Cimefzxx/XDH/5Q3d3dZkeZYtmyZXr88cfNjgEAAIA0osgCAAAAkHaRWET+\nAf+0YwB9QZ9Go6NmR0SyBjW5oOqb8HjExFxJ6u7u1mOPPaZnn33W7Cimcblc2rZtmzZv3mx2lCm2\nbdu2oEtGAACAhYAiCwAAAEBKjEXH1B5sV1vwwjlV48VVe3+7IrGI2RGRrH5Nv6uqT1LIxFxptmPH\nDn3ta19TTU2N2VFMs27dOm3evFmvvPKK2VESNm/erE9+8pNmxwAAAECaUWQBAAAAmLXh8LB8Qd+k\nMYDjH/0DfsWMmNkRkQSrxaq60jp5XB65nW6FukP65r9880JZtUC7yGg0qhdffFGPPvqo2VFM9dRT\nT+nYsWPau3ev2VG0Zs0aPfXUU2bHAAAAQAZQZAEAAACYpD/UnzifauIYQF/Qp5ODJ82OhyTZrXY1\nOBvkcXrkdrnldrrlcXnkcXlUX1Yvh82ReG1vb6+++ZVvmpg2e7z44ot65JFHZLfbzY5impKSEr32\n2mvasGGDWltbTcvR3Nys1157TSUlJaZlAAAAQOZQZAEAAAALjGEY6hvtm7SbauIYwLMjZ82OiCQV\n2AqmlFRup1tul1u1pbXKs87uj4IVFRW66qqrdPTo0TQnzn49PT3atWuXNm7caHYUU1VUVOidd97R\n3XffrX379mV8/TVr1ui1115TRUVFxtcGAACAOSiyAAAAgHnIMAydHj4dL6nOF1bj51a1BdoUDAXN\njogkldhL4gWVy53YXTVeWi0tXiqrxZqSddauXUuRdd7u3bsXfJElxcus73znO3r44YczembW5s2b\n9dRTT7ETCwAAYIGhyAIAAAByVMyI6eTgyXhRFZi8s8ob9GooPGR2RCRrWPHzqcbPqDr/+B/+n3/Q\nnzzwJ7JYLGmPsHbtWn3jG99I+zq5YP/+/WZHyBolJSV67rnntGnTJj300EPq7u5O21pLly7Vtm3b\ntG7durStAQAAgOxFkQUAAABksUgsos7+zmnHAPqCPoWiIbMjIlmDulBWTbz6JI1M/5bjB45npMSS\npJtvvjkj6+SCQ4cOKRQKKT8/3+woWWPdunXas2ePHnvsMe3YsUPRaDRl97bZbNqyZYsef/xxuVyu\nlN0XAAAAuYUiCwAAADBZKBJSW1+b/qfnf9Q53KmuoS51Dneq+7+71TnQqUgsYnZEJCuomcuqsbnf\nLpNnEzU1NamyslJnz3J2WjgcVmtrq1avXm12lKzicrn07LPP6mtf+5pefPFFvfjii+rp6bni+1VV\nVemBBx7Q1q1bVV1dncKkAAAAyEUUWQAAAEAGDIWH5Av6ph0D6B/wy5BhdkQkIyYpoCkjABP/nOIu\nsrW1VaOjoyooKEjtjadhsVh00003adeuXUnfy263a82aNfrYxz6mWCymbdu2pSBhZp04cYIiawY1\nNTV69NFH9cgjj2jXrl3avXu39u/fr0OHDikcDs/4PrvdrmuvvVYtLS264447tH79etnt9gwmBwAA\nQDajyAIAAABSJBgKJs6nagu0TSqruofSd34MMiSqqSXV+BU8/+MZMr4z6MYbb8zIejfffPMVFVnl\n5eW66aabdPPNN2vt2rVavXq1CgsLJUnbt29PdcyMGBmZYd4jEux2uzZu3KiNGzdKkkKhkFpbW3Xi\nxAmNjIxobGxMDodDhYWFampqUnNzM+MaAQAAMCOKLAAAAGCWDMNQ72hvoqQaL6y8Aa/agm06N3LO\n7IhIUp6Rp8KRQkVORzTSNTK5rOqXsmnj3L59+zJWZK1du3ZWr2tqatLatWsTxdWKFStktVqnfe2l\nduhks7GxK5gFucDl5+dr9erV7GQDAADAFaHIAgAAACYwDEM9wz0XyqrzYwDHS6v+sX6zIyJJhdZC\nVahC9gG7QqdC6j3eq9CpkNQrRQYiGtCA2RFn5Re/+EXG1mppaVF+fr5CoVDiOYfDoZaWFq1duzZx\nLV68eNb3zNXRcQ6Hw+wIAAAAwIJCkQUAAIAFJxqLqmuwS96g98J5VefHAPoCPg1Hhs2OiCRVFFSo\nuqBapeFSWfosGuwcVE9rj3oO9WhkeERd6jI7YtIyWWTl5+fr9ttvl2EYk8YEJnNGV1FRUQoTZs74\naEQAAAAAmUGRBQAAgHkpHA2rc6Bz2jGAvn6fxqKMB8t1VUVV8rg8qimqUeFwoaJnogp6g/L/0q9j\nvzymXw3/yuyIaXX48GENDQ2puLg4I+vt2LEjpffzeDwpvV+mNDU1mR0BAAAAWFAosgAAAJCzRiOj\nau9vnzQGcLyw6ujvUNSImh0RSbDIoprSGnlcHrmd7vhHl1sep0eNzkaVOEokSf/n//wfff3rXzc5\nbebFYjH98pe/1M0332x2lCvS3NysvLw8RSIRs6PMmt1uV3Nzs9kxAAAAgAWFIgsAAABZbSg8FB//\nF2ybNAbQG/Sqa6BLhgyzIyIJNotN9WX18rg88rjiBdX444ayBhXkXX503apVqzKQNDv94he/yNki\nq6CgQM3NzTp48KDZUWbt2muvVX5+vtkxAAAAgAWFIgsAAACmC4wGLoz+mzACsC3Qpp7hHrPjIUkO\nm0ONZY3x3VTnSyqPM767qq60TnabPan7r1y5MkVJc08mz8lKh5aWlpwqslpaWsyOAAAAACw4FFkA\nAABIO8MwdG7kXHw3VXDqGMDe0V6zIyJJRXlFcrvciRGAE8cAVpdUy2a1pW3t5cuXKz8/X6FQKG1r\nZKtcL7Juv/12bd++3ewYs3bHHXeYHQEAAABYcCiyAAAAkBKGYah7qDtRVk0cA+gL+tQ/1m92RCSp\nzFF2YUfVRWMAq4qqNDo6quPHj+vo0aM68uMjWvOZNaqrq0t7rry8PF1zzTU6cOBA2tfKJnl5eSou\nLlY4HJbdntyuNrOsX79eVVVV6unJ/p2XVVVVWr9+vdkxAAAAgAWHIgsAAACzFo1F5R/wyxv0Js6t\nmri7aiQyYnZEJGlR4aLE2L/Ezqrzu6wqCipksVgUDAZ19OhRHd53WN89+t14cXXkiNrb22UYF84s\nq6io0HXXXZeR3CtXrpzXRZbVatU111yj1atXJ66VK1eqoODyZ4hlM4fDofvvv19PPvmk2VEu64EH\nHsjZwhAAAADIZRRZAAAAmCQcDaujv2PSGEBf0Jf4GI6FzY6IJC0rXqZGV6M8Ts+kMYBup1vOfKek\n+A67np4eHTlyRPt/vF+vHn1VR44c0dGjR9Xd3T2rdY4ePZrOT2OS+XZO1ooVKyaVVtddd52Ki4vN\njpUWW7du1dNPP61oNGp2lBnZbDZt3brV7BgAAADAgkSRBQAAsACNREbUHmyfMgbQG/Sqs79TUSN7\nv6GMy7PIotrS2kk7qsZ3WDU6G1Vsv1CIDA8P68SJEzrx0xP6wbEf6NixYzpx4oSOHTum/v7kxkEe\nOXIk2U9l1latWpWxtVKtsbFxUml1/fXXy+l0mh0rY2pqarRlyxa99NJLZkeZ0ZYtW1RdXW12DAAA\nAGBBosgCAACYpwbGBhIj/y4eA9g12GV2PCQpz5qn+rL6SWMAx0cANpQ1KD8vP/HaaDQqv9+v4weO\n67+P/7eOHz+uY8eO6fjx4/L7/WnLyI6sqerq6nT99dfrxhtv1OrVq9XS0qKKigqzY5nu8ccf1w9/\n+MNZ7/bLpGXLlunxxx83OwYAAACwYFFkAQAA5LDAaCC+q2rCzipvML676vTwabPjIUn5tny5ne4p\nYwA9Lo9qS2uVZ5382/m+vj4dP35cbxx7Q8ePH09cJ06cUCgUynj+M2fOqK+vT+Xl5Wlfq7KyUkuX\nLs2aIsRqtWrFihW6/vrrJ12Z+LnIRS6XS9u2bdPmzZvNjjLFtm3b5HK5zI4BAAAALFgUWQAAAFnM\nMAydHTk7taw6v8Oqb7TP7IhIUrG9OD76z+lWuVGu2uJa1RXVqba4VmuvXSuH3THp9cFgUF6vV3tP\n7FVbW1viOn78uM6dO2fSZzGzI0eO6Oabb87IWqtWrTKlyHI4HFq5cuWkwmrlypUqKirKeJZctm7d\nOm3evFmvvPKK2VESNm/erE9+8pNmxwAAAAAWNIosAAAAk8WMmE4NnkqcUXXxGMDB8KDZEZGkMkeZ\nmsqbEmMAx0cAelweLSlaIovFokgkIq/XK0kaGBhQR1uH3jz0ptrb23XixAl5vV6dOHEiK8uqSzl6\n9GjGiqyVK1fqhz/8YVrXKCsr06pVqyaVVldffbXsdnta110onnrqKR07dkx79+41O4rWrFmjp556\nyuwYAAAAwIJHkQUAAJABkVhE/gF/vKQ6X1hNLK5Go6NmR0SSFhctju+scrknjQF0O90qLyiXxWKZ\n9PpAIKATh0/og7YPdOLECZ04cUKHDx9WR0eHgsGgSZ9F6h0+fDhja6X6nKxly5ZN2ml1ww03qKGh\nQVarNaXr4IKSkhK99tpr2rBhg1pbW03L0dzcrNdee00lJSWmZQAAAAAQR5EFAACQImPRMXX0d0x7\nZlV7sF3hWNjsiEhSdUn1lLJqfIdVWX7ZJd/7/vvv66WXXpLP51NbW5v6+hbGWMijR49mbK1Vq1Zd\n0fvy8/N1zTXXaOXKlVq1apVWrlyplStXqrKyMsUJMRsVFRV65513dPfdd2vfvn0ZX3/NmjV67bXX\nVFFRkfG1AQAAAExFkQUAADAHw+Fh+YK+CzuqJowB9A/4FTNiZkdEEqwWq2pLa+O7qS4aA9jobFSR\n/crPPOrs7NQbb7yRwrS54ciRIxlba8WKFbLb7QqHZy6Na2pqphRWy5cvV14efzTKJhUVFfrOd76j\nhx9+OKNnZm3evFlPPfUUO7EAAACALMKf1gAAAC7SH+pPjPwbL6zGxwCeHDxpdjwkKc+ap4ayhsRu\nqoljAOvL6uWwOdKybmNjY1rum+06Ozs1NDSk4uLitK9lt9t19dVX61e/+pUKCgp07bXXTiqsVq1a\npfLy8rTnQGqUlJToueee06ZNm/TQQw+pu7s7bWstXbpU27Zt07p169K2BgAAAIArQ5EtppyZAAAg\nAElEQVQFAAAWpL7RvgsjAM+PAfQFfGoLtunM8Bmz4yFJBbYCuV1uNTobE7urxour2tJa5Vnjvw2O\nxeI76DJx5pHb7U77Gtnq2LFjamlpychazzzzjMrKyuTxeGSz2TKyJtJr3bp12rNnjx577DHt2LFD\n0Wg0Zfe22WzasmWLHn/8cblcrpTdFwAAAEDqUGQBAIB5yTAMnR4+PXlH1YQxgMFQ0OyISFKJvSS+\no2qaMYDLSpbJarHKMAydOXNGHR0dav+wXfs79scft7ero6NDnZ2dev/999Xc3Jz2vNXV1Zcdezdf\nHT16NGNF1po1azKyDjLL5XLp2Wef1de+9jW9+OKLevHFF9XT03PF96uqqtIDDzygrVu3qrq6OoVJ\nAQAAAKQaRRYAAMhZMSOmk4MnEyXVxWMAh8JDZkdEklz5rsTYv4ljAN1OtxYXLZZhGOrp6ZHf75f/\nmF/7OvbprY63EmVVZ2enRkZGLrlGR0dHRoosm82m+vp6nThxIu1rZZujR4+aHQHzRE1NjR599FE9\n8sgj2rVrl3bv3q39+/fr0KFDlyyJ7Xa7rr32WrW0tOiOO+7Q+vXrZbfbM5gcAAAAwJWiyAIAAFkt\nEovIP+CfNAZw4vlVoWjI7IhI0pKiJXI73ZN2V40XV3nhvHhJ5ffLf9iv4/7jer/z/cRzp06dSnqH\nU3t7e4o+k8trbGxckEXWkSNHzI6AecZut2vjxo3auHGjJCkUCungwYP63//9X4VCIY2NjcnhcKi2\ntlZXXXWVmpublZ+fb3JqAAAAAFeCIgsAAJguFAmpo78jMfZv4hjAjv4ORWIRsyMiSTUlNYmianz8\nX31JvQpHCtXX0xcvplrj5dRe/95EURUMpn8EZEdHR9rXGLdQz8nq7e01OwLmufz8fK1evXrKOVdu\nt1t5efyxFwAAAMhl/I4eAABkxHB4ODH6zxf0Tdph5R/wy5BhdkQkwWqxqq607sIYQKdbVfYq5Q/l\ny+g1dPrkaXX9qkt+v1/v+d+T3+/XyZMnFYvFzI6e0SKroaEhY2tlmsViUWNjo6666ipdffXViY8r\nVqyYUi4AAAAAADBbFFkAACBlBsOD8g/71TnUKf+wX4G2gHz9PnkDXp0aOmV2PCTJbrWr0dmoRmej\nqguq5Yq5VDRSJGvQqtHuUZ0+flonT57UT7p+om/5v6XBwUGzI89KJousxsbGjK2VLg6HQ8uXL9dV\nV101qbRavny5CgsLzY4HAAAAAJhnKLIAAMCsGYahvtG++E6qi8YAeoNenR05a3ZEJKkwr1A1RTVa\nkrdEzqhTjkGH1CeNnRpTn69P3ae69cGpDxQKzZ+zyTJ5RlYujRasqKjQihUr1NTUNKm0amhoYFQb\nAAAAACBj+BMoAACYxDAM9Qz3TCqoJo4B7B/rNzsiklTqKE2cU+VxeeR2uRP/fPPKm3U8eFzHddzs\nmBkTCAQUDAbldDrTvla2jRbMz89XU1OTmpqaEqXVihUrtHz5clVUVJgdDwAAAAAAiiwAABaimBFT\n10CX2oLxsqot0JYorLwBr4Yjw2ZHRJIqCioS5ZTbdb60csYfVxZWymKxTPu+pVVL1R9ceGVlZ2dn\nRoqs0tJSVVZW6uzZzO5erK2t1fLlyyeVVU1NTaqrq5PNZstoFgAAAAAA5oIiCwCAeSocDcs/4J8y\nBtAX9MkX9CkUnT+j4RaqqqKqKTuqPC6P3E63XAWuK7rnsmXLdPTo0RQnzX4dHR1atWpVRtZqbGxM\nS5FVUVEhj8cjj8ejFStWJMqqpqYmFRUVpXw9AAAAAAAygSILAIAcNhoZVXt/+7RjADv6OxQ1omZH\nRLKC0pK8JfrU2k/J4/Ko0dmYKKtKHCUpX666ujrl98wFmT4n68MPP7yi9y5atEhNTU1yu93yeDxq\nampKlFcu15WVlwAAAAAAZDOKLAAAstxQeCg+/u/8GMDxx22BNnUNdMmQYXZEJCMmKSCpd5orICki\nrbxtpZ75f5/JSJyFWmR1dHRkbK3LnZNVXl6uuro61dXV6frrr9fy5cvl8XjkdrspqwAAAAAACw5F\nFgAAWSAwGpAv6Js0BtAbjJdW3UPdZsdDsiKS+hQvp8Y/TiyrYpd+e09PT3rzTbBs2bKMrZVNMllk\nud1uLVu2TI2NjWpsbEzsqmpoaJDValVJScmk1+bl8Vt2AAAAAMDCxZ+KAQDIAMMwdG7kXKKgmvix\nLdCm3tFesyMiWWFNv6uqV1K/lMzGue7uzJWZ7MhKv3vvvVf33XfflOcjkYi8Xm/GcgAAAAAAkAso\nsoAMCYVC+vWvf622tjYNDw8rHA7LbrerqKhIHo9HK1euVH5+vtkxASTBMAx1D3UndlX5Ahd2WHkD\nXvWP9ZsdEcka1fRFVZ+kgfQt29vbq7GxMTkcjvQtch5FVvpZLJaMrQUAAAAAQK6jyALSZGxsTLt2\n7dKPfvQj7d+/X62trYpEIjO+Pi8vT83NzWppadHtt9+u9evXZ+QblgDmJhqLqmuwK35O1UVjAH0B\nn4Yjw2ZHRLKGNP0IwF5JJv7r7enpUV1dXdrXWaijBYPBoAKBAGdQAQAAAACQZSiygBTr6urSCy+8\noO3bt8/pTJNIJKKDBw/q4MGD2r59u6qqqnT//fdr69atqqmpSWNiABcLR8Pq6O+YNPpv/HF7f7vG\nomNmR0SyBjTzzqpRE3NdQqaKrMWLFysvL++Sf/livigqKlJDQ4Pq6+tVX1+/ID5nAAAAAAByDUUW\nkCKBQECPPfaYduzYoWg0mvT9enp69OSTT+rpp5/Wli1b9Pjjj/O3xIEUGo2Myhf0JUqqiTusOvs7\nFTWS/zqGiQxJQU1fVPUqfp5VjsnUOVlWq1VLly6V3+/PyHrpVFhYqPr6+kll1fjV0NCgiooKxvwB\nAAAAAJDlKLKAFPje976nhx56KC3fZIxGo3rppZf0wx/+UNu2bdO6detSvgYwXw2ODSZ2UnkD3sRZ\nVd6gV10DXTJkmB0RyYgpXkxNNwIwIGmeba6Zyy7f6czlrMbq6uqcKLIWL16s2traaa/6+npVVlZS\nVAEAAAAAkOMosoAkDAwM6JFHHtErr7yS9rW6u7u1efNmbd68WU899ZRKSkrSviaQCwKjgUkjACeO\nATw9fNrseEiSw+aQ2+mW2+WWx+mR2+VW28/b9G//8G/xHVcxsxNmzlz/skQyZzUahvklb2Fh4Ywl\nVV1dnaqrq1VQUGB2TAAAAAAAkGYUWcAV6u3t1d133619+/ZldN1XXnlFx44d02uvvaaKioqMrg2Y\nwTAMnR05O6mkmjgGsG+0z+yISFJRXlG8qHJ55HF65HF51OhqlMfpUXVJtWxW26TX7+rapX/r+zeT\n0ppntjuyUnFWY7pZLBYtXbp0SkFVU1OTKKoY+wcAAAAAACSKLOCK9Pb2asOGDWptbTVl/b1792rD\nhg165513KLMwL8SMmLqHui+UVefH/40XVwNjA2ZHRJLKHGXxour85Xa6E4+XFC2ZU2FRWVmZxqTZ\n63KlVKrPakxGWVmZqqurZ9xRVV1dLYfDYWpGAAAAAACQGyiygDkaGBjQ3XffbVqJNa61tVWf+9zn\ntHPnTsYMIidEY1H5B/zTjgH0BX0aiYyYHRFJKneUq7aoVnXFdaotqlVtca3WLl+rFYtWqLygPGW7\naxZqkXWp0YLpPKvxYlVVVaqurtayZctUXV097WP+vwQAAAAAAFKFIguYo0ceeSTj4wRnsnfvXj38\n8MN67rnnzI4CSJLGomPq6O+YdE6VN+BVW7BN7cF2hWNhsyMiWf2Sei+6+uIfX33nVblcrkkvdy91\nKy8vtb/dWLRoUUrvlyum25GVybMax912222c1QgAAAAAADKGIguYg+9+97sZ/WbhbLzyyivatGmT\n1q1bZ3YULBAjkRH5gr5pxwB2DnQqZsTMjohkGJICSpRTUwqrS3SRfX19U4qsdCgrK5Pdblc4vLCK\n0dOnTysajcpmi58ZxlmNAAAAAABgIaDIAmYpEAjoL/7iL8yOMa2HHnpIe/bsycg3kLEwDIwNTCqo\nJo4BPDl40ux4SFZU8bLq4qKq9/zzV3i8Um9vr9xud2oyXoLFYtGiRYsyMkYvm8RiMZ09e1ZVVVWc\n1QgAAAAAABYMiixglh577LGs/aZpd3e3HnvsMT377LNmR0GO+PnPf65DvkNqH2iXf8ivU6FTOhM9\no3M6p6AtqFBeyOyISFZEM44AVFBSGjbO9fX1pf6mM5jPRZbFYtHixYtVVVWlpUuXTvpYUFDAWY0A\nAAAAAGBBocgCZqGrq0s7duwwO8Yl7dixQ1/72tdUU1NjdhRkCcMwdGb4jNqCF3ZUjY8EPOg/qIg9\ncuHFeeL/CLkopOlHAPZKGlB8TGAG9fb2ZmytysrKjK2VKna7fdpyavzj+LV48eJLniv25S9/mbMa\nAQAAAADAgsG3LYFZeOGFFxSNXuGsrQyJRqN68cUX9eijj5odJWeFQiEdOHBAP/vZzzQ6OqpwOCy7\n3a66ujqtWLFCK1euVH5+vqLRqIaHhzU8PKyhoSENDQ0l/nlwcHDGHxt/PN3zQ0NDuu222/T888/P\nKXPMiOnU4KnE2L+JIwC9Aa8Gw4PTv9Gegp8wZMaIpi+qeiUNmZhrGpnckZUtRVZeXp4WL16sxYsX\na8mSJaqsrNSSJUsS/7xkyZJEWVVeXi6LxZLUepzVCAAAAAAAFhqKLOAyxsbGtH37drNjzMqLL76o\nRx55RHb7wm4pDMNQKBTS6OiohoeHNTIykvg4MjKSKJGCwaA+/PBDHTp0SCdPntSZM2dkGJfewmKx\nWC77misVCASmfT4Si8g/4I8XVAFvYoeVN+CVL+jTaHQ0LXmQQYOafgRgr+JFVo7I5I6sRYsWpe3e\nBQUFiSJq4sfpnnO5XLJarWnLMhFnNQIAAAAAgIWIIgu4jF27dqmnp8fsGLPS09OjXbt2aePGjWZH\nSdrLL7+sc+fOaXR0dEoRNV05dfHjdJVN6bqvbNJZndV73vcm7ahqC7Spvb9dkVjk8vdAduvX9Luq\n+hQfETgPZPqMrLkoKytLlFEXl1MTd08tXrxYJSUlSe+cSgfOagQAAAAAAAsRRRZwGT/60Y/MjjAn\nu3fvnnWRZRiGIpGIRkZGNDo6mrgu/ufx65prrtENN9yQ5s8g7h//8R/V2dmZkbUyxi6pXFLFhGv8\nn53SL62/1D077zExIJJhtVhVV1onj8ujmsIavfQvL00uqxZAF5nJHVm1tbXyeDyqrKzUokWLVFlZ\nOeVxZWWlKioqtHjxYhUWFmYsWzpwViMAAAAAAFioKLJSxDAMHT58WIcPH9bp06c1PDysgoICVVZW\n6qqrrtLKlSsveXA7stf+/fvNjjAnb7/9toaHhy9bSo3/WCwWm/W9H3744YwVWUVFRRlZJ+XyJC3W\n1MKqQlKZibmQEnarXQ3OBnmcHrldbrmdbnlcHnlcHtWX1cthc0iSYrGYvnnvN9O3gy9LZXJH1n33\n3af77rsvY+uZjbMaAQAAAADAQkWzkqTDhw/r3//93/XOO+/ozJkzM76urKxM69at0x/90R9pzZo1\nGUyIZIyOjqq1tdXsGHPS19en119/PS33Hh3N3FlMObt7IiJpiaT1kvJNzoIrUmArmFJSeVweNTob\nVVtaqzzr5f/XabVaVVZWpmAwmIHE2SOTO7IWEs5qBAAAAAAACxlF1hXq7+/X3/3d3+mFF16Y1Y6W\n/v5+vfrqq3r11Vd111136YknntCSJUsykDT7jI+zGxsbS1yhUEjhcHjS44kfJ77u4mtsbEyjo6Ma\nGxvTl7/8ZTU1NaUsa2trqyKRBTAPbJYosmbpgKSzku6TlKMby+a7EnuJPK74rqrx3VXjhdXS4qWy\nWqxJr+F0OnO+yMrLy1NFRYUqKipUXl6eeDzTc2VlZRoaGjI79rzDWY0AAAAAAGAho8i6Aj6fT/fc\nc4+OHDlyRe9/88039bOf/Uwvv/xyxsa0TTQ4OKjDhw9PWyTNplCaqWSay5WucVuf/vSnU1pktbW1\npexe88HIyEjG1srZ0YLjuiS9IGmrKLPMMqzJZ1T1Sg9ufFCPfvlRVRZWy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LSxz3m2++0S233KLhw4e79DrYl11r6NfS0tJ0xx13GNZ/+OEHtWvXTo888ojmz5+v/fv365df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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x82eae10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(6, 3))\n",
    "ax.plot(x_tr, y_tr, '--k')\n",
    "ax.plot(x_tr, y_lr, 'g')\n",
    "ax.plot(x, y, 'ok', ms=10)\n",
    "ax.set_xlim(0, 1.5)\n",
    "ax.set_ylim(-10, 80)\n",
    "ax.set_title(\"Linear regression\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x82d34a8>"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Coefficients, degree 2:\n",
      "    36.95 -18.92 0.00\n",
      "Coefficients, degree 5:\n",
      "    903.98 -2245.99 1972.43 -686.45 78.64 0.00\n"
     ]
    },
    {
     "data": {
      "image/png": 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KLNesrCwMHjxY0iULxXTx4kXJPhN13cGDB/Hhhx9q7G/lqVOn0L9/f40Ws8rKyjBs2DCc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\nFhERERHVqt69e6N3796Ij4/Hzp07cfz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KaQ1axZM6Ptjx49sjq2qRkNxpYDe8LU8kzXrl2zqpD1xx9/lGo8qjyEwBDoWLAqlxo1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\nfDoL6flCySdLJKiKCv9u74OXq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KRYclh/tnLBeZQqS4gVKfFGnwBGn4dZLJfPFypNmg2QPDdN/QCCVFtcuPmgAAQBBrd99dbNmy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\nGpZj1bBcW+vnnNbtAM/KssqWoNspAgAAAACA6CDI6sY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      "text/plain": [
       "<matplotlib.figure.Figure at 0x82d34a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lrp = lm.LinearRegression()\n",
    "fig, ax = plt.subplots(1, 1, figsize=(6, 3))\n",
    "ax.plot(x_tr, y_tr, '--k')\n",
    "\n",
    "for deg, s in zip([2, 5], ['-', '.']):\n",
    "    lrp.fit(np.vander(x, deg + 1), y)\n",
    "    y_lrp = lrp.predict(np.vander(x_tr, deg + 1))\n",
    "    ax.plot(x_tr, y_lrp, s,\n",
    "            label=f'degree {deg}')\n",
    "    ax.legend(loc=2)\n",
    "    ax.set_xlim(0, 1.5)\n",
    "    ax.set_ylim(-10, 80)\n",
    "    # Print the model's coefficients.\n",
    "    print(f'Coefficients, degree {deg}:\\n\\t',\n",
    "          ' '.join(f'{c:.2f}' for c in lrp.coef_))\n",
    "ax.plot(x, y, 'ok', ms=10)\n",
    "ax.set_title(\"Linear regression\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x81b99e8>"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Coefficients, degree 2: 14.43 3.27 0.00\n",
      "Coefficients, degree 5: 7.07 5.88 4.37 2.37 0.40 0.00\n"
     ]
    },
    {
     "data": {
      "image/png": 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WrcLYsWNlyS3m0aNH8PX1xffffy/56/Wy5ORkfPDBB1i9erVsc2iDFStWYMiQIS/OE9KE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\nYMuWLejTp0+5VmOoqlu3bio1waT4nGk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vD3zzpw4EDs378fTz/9tMnxDRs2YNeuXRbXY287duxAXFwcvvvuO5w7dw43btxAWVkZ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\n2zYBJiIiIiIiouqlOHkQ6oR4y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AXYvf79e6dev0wgsv6P3335fPd+pBTk8PzwxpiCVJvsxB8p05XKaiPZKzXjG2WA3v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\nv09WVrxVNw3wdQokxJKkeJMU6B5TRi4Hd/Gc/6+hJeBzRIKd9S0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x81b99e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ridge = lm.RidgeCV()\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(6, 3))\n",
    "ax.plot(x_tr, y_tr, '--k')\n",
    "\n",
    "for deg, s in zip([2, 5], ['-', '.']):\n",
    "    ridge.fit(np.vander(x, deg + 1), y)\n",
    "    y_ridge = ridge.predict(np.vander(x_tr, deg + 1))\n",
    "    ax.plot(x_tr, y_ridge, s,\n",
    "            label='degree ' + str(deg))\n",
    "    ax.legend(loc=2)\n",
    "    ax.set_xlim(0, 1.5)\n",
    "    ax.set_ylim(-10, 80)\n",
    "    # Print the model's coefficients.\n",
    "    print(f'Coefficients, degree {deg}:',\n",
    "          ' '.join(f'{c:.2f}' for c in ridge.coef_))\n",
    "\n",
    "ax.plot(x, y, 'ok', ms=10)\n",
    "ax.set_title(\"Ridge regression\")"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
